PSI - Issue 68

Oleh Yashiy et al. / Procedia Structural Integrity 68 (2025) 126–131 O. Yashiy et al. / Structural Integrity Procedia 00 (2025) 000–000

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well. This suggests that lower thermal resistance can contribute to greater stability in the bonding between the inclusion and the surrounding medium, potentially enhancing the material’s overall integrity. In summary, while the compliance of the thread-like inclusion plays a significant role in mitigating the risk of debonding, the effects of thermal resistance are less pronounced but still contribute positively to the bonding strength. Understanding these relationships is crucial for optimizing the design of materials containing thread-like inhomogeneities, particularly in applications subjected to thermal and mechanical stresses. Conclusion In conclusion, this paper successfully develops fracture criteria for thermoelastic solids containing deformable thread-like inhomogeneities. By revisiting and refining previously introduced models, the study demonstrates that reducing the problem to specific influence functions distributed along a spatial curve effectively simplifies the analysis and enhances computational efficiency. The examination of three distinct mechanisms – fracture of the inhomogeneity, debonding, and fracture initiation near the inhomogeneity tip – provides a comprehensive understanding of the fracture behavior in these complex materials. The mathematical formulations derived for each fracture criterion contribute significantly to the existing literature by providing clear, quantifiable measures for predicting failure in thermoelastic solids. The numerical results further substantiate the theoretical frameworks, illustrating the applicability and effectiveness of the proposed criteria in real-world scenarios. Overall, this work not only advances the understanding of fracture mechanisms in thermoelastic materials with thread-like inhomogeneities but also lays the groundwork for future research aimed at optimizing material design and enhancing the durability of such composites in practical applications. References Berezhnitskii, L.T., Kundrat, M.N., 2000. Study of the Tensile Fracture of Plates with a Rigid Linear Inclusion. International Applied Mechanics 36, 954–960. https://doi.org/10.1007/BF02682305 Dal Corso, F., Bigoni, D., Gei, M., 2008. The Stress Concentration Near a Rigid Line Inclusion in a Prestressed, Elastic Material. Part II Implications on Shear Band Nucleation, Growth and Energy Release Rate. Journal of the Mechanics Physics of Solids 56(3), 839–857. https://doi.org/10.1016/j.jmps.2007.07.003 Gdoutos, E.E., 1981. Failure of a Composite with a Rigid Fiber Inclusion. Acta Mechanica 39, 251–262. https://doi.org/10.1007/BF01170346 Gdoutos, E.E., 2020. Fracture Mechanics: An Introduction. 3rd ed. Springer Cham, 2020. https://doi.org/10.1007/978-3-030-35098-7 Giarola, D., Dal Corso, F., Capuani, D., Bigoni, D., 2022. Interactions Between Multiple Rigid Lamellae in a Ductile Metal Matrix: Shear Band Magnification and Attenuation in Localization Patterns. Journal of the Mechanics and Physics of Solids, 165, 104925. https://doi.org/10.1016/j.jmps.2022.104925 Kundrat, M.M., 2024. Delamination of Thin Inclusion in Orthotropic Body Under Cyclic Load. International Applied Mechanics 60, 349–355. https://doi.org/10.1007/s10778-024-01288-4 Misseroni, D., Dal Corso, F., Shahzad, S., Bigoni, D., 2014. Stress Concentration Near Stiff Inclusions: Validation of Rigid Inclusion Model and Boundary Layers by Means of Photoelasticity. Engineering Fracture Mechanics, 121-122, 87 - 97. https://doi.org/10.1016/j.engfracmech.2014.03.004 Murakami, Y., 2002. Metal Fatigue: Effects of Small Defects and Nonmetallic Inclusions. Elsevier, 2002. https://doi.org/10.1016/C2016-0-05272 5 Olver, F.W., Lozier, D.W., Boisvert, R.F., Clark, C.W., 2010. NIST Handbook of Mathematical Functions. Cambridge University Press, New York. Pasternak, Ia.M., Sulym, H., Holii, O., 2022. Thermoelasticity and Effective Properties of Solids Containing Flexible and Deformable Thread-Like Inhomogeneities. International Journal of Engineering Science 178, 103729. https://doi.org/10.1016/j.ijengsci.2022.103729 Sih G.C., 1991. Mechanics of Fracture Initiation and Propagation. Springer Dordrecht, 1991. https://doi.org/10.1007/978-94-011-3734-8